BOLSINOV, A.V., IZOSIMOV, A. and TSONEV, D., 2016. Finite-dimensional integrable systems: a collection of research problems. Journal of Geometry and Physics, 115, pp. 2-15.
This article suggests a series of problems related to various algebraic and geometric
aspects of integrability. They reflect some recent developments in the theory of finite-dimensional integrable systems such as bi-Poisson linear algebra, Jordan-Kronecker invariants of finite dimensional Lie algebras, the interplay between singularities of Lagrangian fibrations and compatible Poisson brackets, and new techniques in projective geometry.